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Identifying Dependence Structure among Equities in Indian Markets using Copulas

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  • Grover, Vaibhav

Abstract

In this study we have examined that assets returns in Indian markets do not follow an elliptical dependence structure; asymmetric tail dependence can be observed among asset returns particularly when the assets exhibit downside returns in a bearish market. We have used Elliptical, Archimedean and Canonical Vine copulas to model such dependence structure in large portfolios. Using certain goodness-of-fit tests we find that Archimedean copulas are insufficient to model the dependence among assets in a large portfolio. We have also compared copula models using an out-of-sample Value-at-Risk (VaR) calculation and comparing results to the historical data. It is observed that the Canonical Vine copulas consistently capture the variation in weekly and daily VaR values.

Suggested Citation

  • Grover, Vaibhav, 2015. "Identifying Dependence Structure among Equities in Indian Markets using Copulas," MPRA Paper 66302, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:66302
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    File URL: https://mpra.ub.uni-muenchen.de/66302/1/MPRA_paper_66302.pdf
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    References listed on IDEAS

    as
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    4. Kee-Hong Bae & G. Andrew Karolyi & René M. Stulz, 2003. "A New Approach to Measuring Financial Contagion," Review of Financial Studies, Society for Financial Studies, vol. 16(3), pages 717-763, July.
    5. Low, Rand Kwong Yew & Alcock, Jamie & Faff, Robert & Brailsford, Timothy, 2013. "Canonical vine copulas in the context of modern portfolio management: Are they worth it?," Journal of Banking & Finance, Elsevier, vol. 37(8), pages 3085-3099.
    6. Genest, Christian & RĂ©millard, Bruno & Beaudoin, David, 2009. "Goodness-of-fit tests for copulas: A review and a power study," Insurance: Mathematics and Economics, Elsevier, vol. 44(2), pages 199-213, April.
    7. Aas, Kjersti & Czado, Claudia & Frigessi, Arnoldo & Bakken, Henrik, 2009. "Pair-copula constructions of multiple dependence," Insurance: Mathematics and Economics, Elsevier, vol. 44(2), pages 182-198, April.
    8. Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, March.
    9. Brechmann, Eike Christian & Schepsmeier, Ulf, 2013. "Modeling Dependence with C- and D-Vine Copulas: The R Package CDVine," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 52(i03).
    10. Ang, Andrew & Chen, Joseph, 2002. "Asymmetric correlations of equity portfolios," Journal of Financial Economics, Elsevier, vol. 63(3), pages 443-494, March.
    11. Campbell, Rachel & Koedijk, Kees & Kofman, Paul, 2002. "Increased Correlation in Bear markets: A Downside Risk Perspective," CEPR Discussion Papers 3172, C.E.P.R. Discussion Papers.
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    More about this item

    Keywords

    copula; vine copulas; Value-at-Risk;

    JEL classification:

    • G17 - Financial Economics - - General Financial Markets - - - Financial Forecasting and Simulation

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